Q. 143.5( 21 Votes )

In figure, PA, QB, RC and SD are all perpendiculars to a line , AB = 6 cm, BC = 9 cm, CD = 12 cm and SP = 36 cm. Find PQ, QR and RS.


Answer :

Given,

AB = 6 cm, BC = 9 cm, CD = 12 cm and SP = 36 cm


Also,


PA, QB, RC and SD are all perpendiculars to line .


PA:QB:RS = AB:BC:CD


= 6:9:12


Let PQ = 6x, QR = 9x and RS = 12x


Since, length of PS = 36 km


PQ + QR + RS = 36


6x + 9x + 12x = 36


27x = 36



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